The present invention is directed to LED packages and LED displays utilizing LED packages where the peak emission of the LED displays can exhibit improved emission characteristics. In some embodiments the improved characteristics include a wider horizontal emission angle for the LED packages according to the present invention, which results in improved emission characteristics for the LED display such as a wider far field pattern. This provides improved picture intensity and quality when viewing the display at different horizontal viewing angles. Different embodiments also provide for improved emission characteristics for LED packages emitting different colors of light when viewing at different vertical angles. In one embodiment the red and green LED packages can have emission patterns that are substantially the same at different vertical viewing angles within a range. This helps the colors of the display appear consistent at those angles.